A phase transition in the Bakry-Émery gradient estimate for Dyson Brownian motion

Kohei Suzuki, Kenshiro Tashiro

In this paper, we find a gap between the lower bound of the Bakry-Émery $N$-Ricci tensor ${\mathrm{Ric}}_N$ and the Bakry-Émery gradient estimate $\mathsf{BE}$ in the space associated wi…